ACCELERATING COSMOLOGICAL MODELS WITH VARIABLE G AND Λ-TERM IN GENERAL RELATIVITY

Vinod Kumar Bhardwaj; Ajay Singh

doi:10.56827/SEAJMMS.2022.1803.34

Vinod Kumar Bhardwaj Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura - 281406, Uttar Pradesh, INDIA
Ajay Singh UPS Hinduwari Block Niyamtabad Dist Chandauli, Varanasi, INDIA

DOI: https://doi.org/10.56827/SEAJMMS.2022.1803.34

Abstract

In this paper, we have presented a new class of accelerating universe models with variable cosmological term Λ(t) and gravitational constant G(t) in the framework of general relativity. To get exact solution of Einstein’s field equations for homogeneous and anisotropic Bianchi type-V space-time, a time varying de- celeration parameters is considered as q = 1 + ^nα , where n, α are constants. The present model shows a point type singularity at origin. The results establish the quintessence like behavior of model initially, and approaches to ΛCDM model ultimately. Some geometrical and physical properties of the models have been evidenced, and conferred to derive the validity of models with respect to recent astrophysical observations. Stability of the model has been discussed through the means of Om(z) diagnostic and state-finder analysis.

Author Biography

Vinod Kumar Bhardwaj, Department of Mathematics, Institute of Applied Sciences and Humanities, GLA University, Mathura - 281406, Uttar Pradesh, INDIA